A result on the composition of distributions |
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| Authors: | Joel D. Nicholas Brian Fisher |
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| Affiliation: | (1) Department of Mathematics and Computer Science, University of Leicester, LE1 7RH Leicester, England |
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| Abstract: | LetF be a distribution and letf be a locally summable function. The distributionF(f) is defined as the neutrix limit of the sequenceF n (f), whereF n (x) = F(x) * δ n (x) andδ n (x) is a certain sequence of infinitely differentiable functions converging to the Dirac delta-functionδ(x). The distribution (xr)−s is valuated forr, s = 1,2, …. |
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| Keywords: | Distribution delta-function composition of distributions neutrix neutrix limit |
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